Mastering Physics with Pearson eText -- Standalone Access Card -- for Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780133857955
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 35, Problem 23E
To determine
The minimum energy for the alpha particle.
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Chapter 35 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for Essential University Physics (3rd Edition)
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 10FTDCh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 25ECh. 35 - Prob. 26ECh. 35 - Prob. 27ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PPCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PP
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- (1) A particle of mass m in the potential V(x) = \frac {1}{2}m\omega^{2}x^{2} has the initial wave function: \ Psi(x, 0) Ae^{\beta \xi ^{2}}. (a) Find out A. (b) Determine the probability that E_{0} = \hbar\omega/2 turns up, when a measurement of energy is performed. Same for E_{1} 3\hbar\omega/2. (c) What energy values might turn up in an energy measurement? [ Notice that many n values are ruled out, just as in your answer to (b).] (c) Sketch the probability to measure \ hbar\omega/2 as a function of and explain the maximum any calculation? why is it expected to be there, even without performingarrow_forwardAssume that a proton in a nucleus can be treated as if it were confined to a one-dimensional of width 10.0 fm. (a) What are the energies of the proton when it is in the states corresponding to n=1,n=2, and n=3? (b) What are the energies of the photons emitted when the proton makes the transitions from the first and second excited states to the ground state?arrow_forwardAn alpha particle of mass 3727.4 x 106 eV/c² is trapped in a box of size L = 0.000001 nm = 106 nm (the size of a nucleus). Treat this as a 1D infinite square well. Find: (a) The n = 5 wavefunction and probability density. Draw a graph. (b) The ground state energy and first excited state. (c) The wavelength of a photon emitted when the alpha particle transitions from the first excited state to the ground state. [Note that wavelengths between 0.001 nm to 10 nm are x rays and less than 0.001 nm are gamma rays.] (d) The probability that the alpha particle is in the range x = 0 to x = 2/5L for the n= 5 state. (e) The expectation value of the position of the alpha particle for then=5 state. If by inspection, explain.arrow_forward
- Radius of an atomic nucleus is of the order 2.2 fm. What is the minimum energy that an electron should have to be found inside the atomic nucleus? Is this possible in reality? Explain.arrow_forwardAn electron is used to probe the inside of an aluminium nucleus, which has a radius ofapproximately 4.9 fm. The wavelength of the electron must be in the same order of magnitude as the aluminium radius to obtain meaningful results. The electron must thus be accelerated to relativistic speeds.(a) Determine the minimum speed required for an electron to probe the inside of an aluminium nucleus.(b) Determine the corresponding kinetic energy of the electron.arrow_forwardIn the experiment, alpha particles follow a hyperbolic trajectory. The figure shows an alpha particle A initially approaching a gold nucleus N and being deflected at an angle 0 = 90°. N is located at a focus of the hyperbola, and the trajectory of A passes through a vertex of the hyperbola. ++► x y = x y =-x a. Determine the equation of the trajectory of the alpha particle if d = 4 x 10 14 m. Choose the correct equation below. O A. X= -. + 16 x 10 - 28 В. X= Vy + 16 ×10-28 OC. D. X= + 4x 10 - 28 X = - 4x 10-28 b. What was the minimum distance between the centers of the alpha particle and the gold nucleus? (Use scientific notation. Round to the nearest tenth as needed.)arrow_forward
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